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Study these flashcards

- Virginia
- Westminster Academy
- Geometry With Mrs. Fagan
- Geometry
- Chapter 3 Test Review

Sarah C.

• 27

cards
two triangles are congruentif and only if...?

their vertices can be matched up so that their corresponding parts (angles and sides) of the triangles are congruent.

SSS Postulate

If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.

SAS Postulate

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

ASA Postulate

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

A line and a plane are perpendicular if and only if...?

they intersect and the line is perpendicular to all lines in the plane that pass through the point of intersection.

A Way to Prove Two Segments or Two Angles Congruent

1) Identify two ___?___ in which the two segments or __?__ are ___?___ parts.

2) Prove that the ___?___ are congruent.

3) State that the two parts are __?__, supporting the statement with the reason: ____?____

1) triangles, angles, corresponding

2) triangles

3) Correspondin parts of congruent triangles are congruent

congruent sides of a triangle are called __?__.

the third side of the triangle is called the __?__.

the angle opposite the base is known as the __?__ __?__ of the isosceles triangle.

the Isosceles Triangle Theorem

Corollary 1 of Isosceles Theorem

Corollary 2 of Isosceles Theorem

Corollary 3 of Isosceles Theorem

Corollary 1 (of Theorem 3-2)

AAS Theorem

HL Theorem

hypotenuse

median of a triangle

altitude of a triangle

always, sometimes or never?

1) the medians of a triangle are __?__ inside the triangle.

2) the altitudes of a triangle are __?__ inside the triangles.

perpendicular bisector of a segment

distance from a point to a line (or plane)

Deductive Reasoning

1) Conclusion based on accepted statements (?,?,?,?,?and ?)

2) Conclusion __?__ be true if the hypothese are true.

Inductive Reasoning

1) Conclusion based on?

2) Conclusion os __?__ true , but not necessarily true.

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